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On the Pricing of Vulnerable Foreign Equity Options with Stochastic Volatility in an Intensity-Based Model

Author

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  • Junkee Jeon

    (Department of Applied Mathematics, Kyung Hee University, Yongin 17104, Republic of Korea)

  • Geonwoo Kim

    (School of Natural Sciences, Seoul National University of Science and Technology, Seoul 01811, Republic of Korea)

Abstract

In this study, we investigate the pricing of two types of vulnerable foreign equity options using an intensity-based model. It is considered that the intensity process consists of both systematic and idiosyncratic components. In addition, we assume that the underlying asset processes follow a two-factor stochastic volatility model. Under the proposed model, we obtain the explicit pricing formulas of vulnerable foreign equity options. Finally, we provide some numerical examples to demonstrate how credit risk and stochastic volatility affect option prices.

Suggested Citation

  • Junkee Jeon & Geonwoo Kim, 2025. "On the Pricing of Vulnerable Foreign Equity Options with Stochastic Volatility in an Intensity-Based Model," Mathematics, MDPI, vol. 13(3), pages 1-13, January.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:3:p:400-:d:1576971
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    References listed on IDEAS

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    1. Ma, Yong & Pan, Dongtao & Shrestha, Keshab & Xu, Weidong, 2020. "Pricing and hedging foreign equity options under Hawkes jump–diffusion processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).
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    6. Sun, Qi & Xu, Weidong, 2015. "Pricing foreign equity option with stochastic volatility," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 437(C), pages 89-100.
    7. Jun Ma, 2009. "Pricing Foreign Equity Options with Stochastic Correlation and Volatility," Annals of Economics and Finance, Society for AEF, vol. 10(2), pages 303-327, November.
    8. Xu, Weidong & Wu, Chongfeng & Li, Hongyi, 2011. "Foreign equity option pricing under stochastic volatility model with double jumps," Economic Modelling, Elsevier, vol. 28(4), pages 1857-1863, July.
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